Final answer:
To determine how many minutes it takes Tom to get to work, we need to set up an equation using the given information. By solving the equation, we find that Tom takes 90 minutes to get to work.
Step-by-step explanation:
To determine how many minutes it takes Tom to get to work, we need to set up an equation using the information given.
The question tells us that Paul's commute on the train takes 15 minutes more than one third as many minutes as
Tom's commute by car. We are also told that it takes Paul 45 minutes to get to work.
Let's set up the equation: 45 = (1/3)t + 15. Simplifying this equation, we get (1/3)t = 45 - 15. Continuing to simplify, we have (1/3)t = 30.
Finally, isolating t, we multiply both sides of the equation by 3 to get t = 90. Therefore, it takes Tom 90 minutes to get to work.